please help no. 4 please
4 R W 14 diverse , we uomiam Jure Tonowiny TUNC IOI. a. f(x) = In x ex-e-* b. f(x) = ex+e-x 2. According to the Ebbinghaus model, the fraction F(t) of subject matter you will remember from this course t months after the semester can be estimated by the formula F(t) = B + (1 B)e-st where B is the fraction of the material you will never forget, and s is a constant that depends on the quality of your memory. Suppose that memory depends on your brain weight that is directly proportional to your body weight and suppose you are tested, and it is found that B = 0.3. What fraction of the material will you remember one month after the class ends? What fraction will you remember after one year? (Hint: to find s, use the idea of proportionality on page 29. Make sure to use your respective measurements.) 3. On the Richter scale, the magnitude R of an earthquake of intensity I is given by In 1 R= In 10 Find the intensity of the 2013 Bohol and Cebu (Central Philippines) earthquake, which measured R = 7.2 on the Richter scale. b. How much more intense was the 1976 Moro Gulf earthquake and tsunami, which measured R= 8.0 compare to the 2013 Central Visayas earthquake? 4. Suppose that it is estimated that t months after January 30, 2020 (first COVID-19 case in the Philippines), the population of COVID patients for the country will be P(t) thousand people where P(t) = Ae0.03t Be0.005t for certain constants A and B. The population of COVID cases for March is 1,546 and 78,000 after four months. a. Use the given information to find A and B b. What was the population for May? c. What will the population of COVID cases in November? a. nstructions on how to submit student output ee the course policies for the instructions. 8 A globally competitive university for science, technology, and environmental conservation Development of a highly competitive human resource, cutting-edge scientific knowledge and innovative technologies for sustainable communities and environment. TP-IM VO 07-1 DMP-2 O 4 R W 14 diverse , we uomiam Jure Tonowiny TUNC IOI. a. f(x) = In x ex-e-* b. f(x) = ex+e-x 2. According to the Ebbinghaus model, the fraction F(t) of subject matter you will remember from this course t months after the semester can be estimated by the formula F(t) = B + (1 B)e-st where B is the fraction of the material you will never forget, and s is a constant that depends on the quality of your memory. Suppose that memory depends on your brain weight that is directly proportional to your body weight and suppose you are tested, and it is found that B = 0.3. What fraction of the material will you remember one month after the class ends? What fraction will you remember after one year? (Hint: to find s, use the idea of proportionality on page 29. Make sure to use your respective measurements.) 3. On the Richter scale, the magnitude R of an earthquake of intensity I is given by In 1 R= In 10 Find the intensity of the 2013 Bohol and Cebu (Central Philippines) earthquake, which measured R = 7.2 on the Richter scale. b. How much more intense was the 1976 Moro Gulf earthquake and tsunami, which measured R= 8.0 compare to the 2013 Central Visayas earthquake? 4. Suppose that it is estimated that t months after January 30, 2020 (first COVID-19 case in the Philippines), the population of COVID patients for the country will be P(t) thousand people where P(t) = Ae0.03t Be0.005t for certain constants A and B. The population of COVID cases for March is 1,546 and 78,000 after four months. a. Use the given information to find A and B b. What was the population for May? c. What will the population of COVID cases in November? a. nstructions on how to submit student output ee the course policies for the instructions. 8 A globally competitive university for science, technology, and environmental conservation Development of a highly competitive human resource, cutting-edge scientific knowledge and innovative technologies for sustainable communities and environment. TP-IM VO 07-1 DMP-2 O
